19716978600 has 288 divisors, whose sum is σ = 72813911040. Its totient is φ = 4741632000.

The previous prime is 19716978599. The next prime is 19716978629. The reversal of 19716978600 is 687961791.

19716978600 is a `hidden beast` number, since 19 + 7 + 16 + 9 + 7 + 8 + 600 = 666.

It is a super-2 number, since 2×19716978600² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2510680 + ... + 2518520.

It is an arithmetic number, because the mean of its divisors is an integer number (252826080).

Almost surely, 2^19716978600 is an apocalyptic number.

19716978600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19716978600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36406955520).

19716978600 is an abundant number, since it is smaller than the sum of its proper divisors (53096932440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19716978600 is a wasteful number, since it uses less digits than its factorization.

19716978600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8001 (or 7989 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 19716978600 in words is "nineteen billion, seven hundred sixteen million, nine hundred seventy-eight thousand, six hundred".